Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem? 5x - 9 = x + 23 5x - 9 = 2x + 23 5x - 9 + 2x = 23 5x + 23 = 2x + 23

5x - 9 = 2x + 23

Step-by-step explanation:

This question is asking you to take a verbal description to write an equation. Using key words and phrases from the problem, you can set up an equation and solve for the missing variable.

'five times a number': 5x (5 multiplied by a variable)

'decreased by 9': - 9 (subtract 9)

'five times a number decreased by 9': 5x - 9

'is equal to' =

'twice the number': 2x (2 multiplied by the variable)

'increased by 23': + 23 (add 23)

'twice the number increased by 23': 2x + 23

Set the two expressions equal to each other: 5x - 9 = 2x + 23